Question 93

Two-third of a number is greater than one-third of the number by 3. Find the number.

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Solution

Let the number be x.
Then, two-third of this number = $\frac{2}{3} x$ and one-third of this number = $\frac{1}{3} x .$
According to the question,
$\frac{2}{3} x = \frac{1}{3} x + 3 \Rightarrow \frac{2}{3} x - \frac{1}{3} x = 3 \Rightarrow \frac{2 x - x}{3} = 3 [t a k i n g L C M o n L H S] \Rightarrow \frac{x}{3} = 3 \Rightarrow \frac{x}{3} \times 3 = 3 \times 3 [m u l t i p l y i n g b o t h s i d e s b y 3] \Rightarrow x = 9$
Hence, the required number is 9.

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